Question

 1/2*2/3*3/4*4/5*......200/201*x = 1/402

Mình cần gấp ,giúp mình với

Answer 1

Ta có:

\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{200}{201}\times x=\frac{1}{402}\)

\(\Rightarrow\frac{1}{201}\times x=\frac{1}{402}\Rightarrow x=\frac{1}{402}:\frac{1}{201}=\frac{1}{2}\)

Vậy x = 1/2.

k vs kb cho tớ nha!

Answer 2

1/2 . 2/3 . 3/4 .... . 200/201 . x = 1/402

\(\frac{1.2.3...200}{2.3.4...201}\). x = 1/402

1/201 . x = 1/402

x = 1/402 : 1/201

x = 1/2

Answer 3

Đặt \(C=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{200}{201}\)

\(\Rightarrow C=\frac{1.2.3...200}{2.3.4...201}\)

\(\Rightarrow C=\frac{1}{201}\)

\(\Leftrightarrow\frac{1}{201}.x=\frac{1}{402}\)

\(\Rightarrow x=\frac{1}{2}=0,5\)